{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在限制条件下的求极值，一般就是逆表示，再带入原方程.但太难算了<p>\n",
    "$ g(x_1,x_2)=0 \\tag{E.1}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [],
   "source": [
    "# preparation\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "采用拉格朗日乘数法.首先D维向量x:$x_1,...,x_D$,限制方程$g(x)=0$，表示一个(D-1)维曲面。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fa32af2d850>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 等式限制\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "d = plt.imread('./graph/等式限制.png')\n",
    "plt.axis('off')\n",
    "ax.imshow(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**限制函数的梯度$\\triangledown g(x)$都正交于限制曲面**\n",
    ",因为:限制曲面上点x和附近的点$x+\\epsilon$.泰勒展开有：<p>\n",
    "$$\n",
    "g(\\boldsymbol{x}+\\boldsymbol{\\epsilon}) \\simeq g(\\boldsymbol{x})+\\boldsymbol{\\epsilon}^{T} \\nabla g(\\boldsymbol{x}) \\tag{E.2}\n",
    "$$<p>\n",
    "因为都在限制曲面上，g(x)和$g(x+\\epsilon)$都是0。最后一项近似为零，再加上$\\epsilon$很小，平行于限制曲面，所以$\\nabla g(x)$都正交于限制曲面."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\nabla f(x)$也正交于限制曲面。因为不满足的话，总有个方向可以使得f增大。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fa32e8d7490>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 自己用图\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "d = plt.imread('./graph/等式自己.png')\n",
    "plt.axis('off')\n",
    "ax.imshow(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "所以有拉格朗日乘数$\\lambda$：<p>\n",
    "$\\nabla f + \\lambda \\nabla g =0 \\tag{E.3}$\n",
    "拉格朗日函数：<p>\n",
    "$L(x,\\lambda)=f(x) + \\lambda g(x) =0 \\tag{E.4}$<p>\n",
    "    y的极值问题转化为L的极值问题。限制问题转化为无限制问题。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fa32c028750>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 例子\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "d = plt.imread('./graph/例子.png')\n",
    "plt.axis('off')\n",
    "ax.imshow(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有$f(x_1,x_2)=1-x_1^2-x_2^2$,在限制条件$g(x_1,x_2)=x_1+x_2-1=0$下的驻点:<p>\n",
    "$L(x,\\lambda)=1-x_1^2-x_2^2+\\lambda(x_1+x_2-1) \\tag{E.5}$\n",
    "分别求导有:<p>\n",
    "    $-2x_1+\\lambda=0 \\tag{E.6}$\n",
    "    $-2x_2+\\lambda=0 \\tag{E.7}$\n",
    "    $x_1+x_2-1=0 \\tag{E.8}$\n",
    "所以$x_1^*=0.5,x_2^*=0.5,\\lambda=1$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "不等式限制：$g(x)\\geq0$,两种情况：\n",
    "- g(x)>0,限制条件未激活，$\\lambda=0$\n",
    "- g(x)=0，限制条件激活，$\\lambda>0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fa32fa7e310>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 书中图\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "d = plt.imread('./graph/不等式限制.png')\n",
    "plt.axis('off')\n",
    "ax.imshow(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "code_folding": [
     0
    ],
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fa32f050550>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 自己的图\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "d = plt.imread('./graph/不等式极大.png')\n",
    "plt.axis('off')\n",
    "ax.imshow(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fa32eb42990>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 不等式极小\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "d = plt.imread('./graph/不等式极小.png')\n",
    "plt.axis('off')\n",
    "ax.imshow(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "综合两种情况$\\lambda g(x)=0$.限制条件为:<p>\n",
    "    $g(x)\\geq 0 \\tag{E.9}$\n",
    "    $\\lambda \\geq 0 \\tag{E.10}$\n",
    "    $\\lambda g(x)=0 \\tag{E.11}$<p>\n",
    " 叫做KKT条件。\n",
    "    求极小值变为<p>\n",
    "        $L(x,\\lambda)=f(x)-\\lambda g(x)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结合等式和不等式限制：<p>\n",
    "$$\n",
    "L\\left(\\boldsymbol{x},\\left\\{\\lambda_{j}\\right\\},\\left\\{\\mu_{k}\\right\\}\\right)=f(\\boldsymbol{x})+\\sum_{j=1}^{J} \\lambda_{j} g_{j}(\\boldsymbol{x})+\\sum_{k=1}^{K} \\mu_{k} h_{k}(\\boldsymbol{x}) \\tag{E.12}\n",
    "$$<p>\n",
    "    限制条件是$\\mu_k \\geq 0$且$\\mu_kh_k(x)=0,k=1,...,K$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "参考资料:<p>\n",
    "https://www.zhihu.com/question/38586401 <p>\n",
    "https://www.jianshu.com/p/1229558de6b5<p>\n",
    "https://www.cnblogs.com/massquantity/p/10807311.html<p>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
